Magnetoacoustic solitons in quantum plasma

Hussain, S.; Mahmood, S.

doi:10.1063/1.3626556

Cited by 18 publications

(16 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, the dependent variables can be expanded in the following form: and Inserting (2.14 a , b )–(2.16) into (2.6)–(2.11), we collect the lowest-order terms, as and Further algebraic manipulations lead to with and Solving together (2.17)–(2.28), the phase speed for magnetosonic waves can be calculated as We see that the phase speed is strongly modified by the relativistic factor and energy ratio due to the degenerate electrons. By neglecting the electron relativistic effects, when , and replacing with in the normalization, the phase speed exactly coincides with the earlier result of Hussain & Mahmood (2011). Equation (2.29) clearly shows that the phase speed in a relativistically degenerate plasma strongly depends on the equilibrium number density as well as on the magnetic field strength .…”

Section: Governing Equations and Modelsupporting

confidence: 85%

“…In order to solve the KdV equation, we introduce a single moving variable , with being the soliton speed, and arrive at the solution (Hussain & Mahmood 2011). where and are the amplitude and width of the magnetosonic solitons in a relativistically degenerate dense magnetoplasma.…”

Section: Governing Equations and Modelmentioning

confidence: 99%

“…Recently, many authors have focused their attention on investigating the formation and propagation of different modes involving magnetosonic excitations in plasmas, e.g. the KdV/KP (Kadomtsev–Petviashvili) solitons, envelope solitons, double layer shocks, etc., (Chakraborty & Das 2000; Mushtaq & Shah 2005 b ; Hussain & Mahmood 2011; Wang, Lu & Eliasson 2013). Mushtaq & Viladimirov (2010) has examined the spin effects associated with degenerate plasma species on fast and slow magnetosonic waves in a spin quantum plasma within the framework of a one-fluid quantum magnetohydrodynamic (QMHD) model.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

2016

View full text Add to dashboard Cite

Two-fluid quantum magnetohydrodynamic (QMHD) equations are employed to investigate linear and nonlinear properties of the magnetosonic waves in a semi-relativistic dense plasma accounting for degenerate relativistic electrons. In the linear analysis, a plane wave solution is used to derive the dispersion relation of magnetosonic waves, which is significantly modified due to relativistic degenerate electrons. However, for a nonlinear investigation of solitary and shock waves, we employ the reductive perturbation technique for the derivation of Korteweg–de Vries (KdV) and Korteweg–de Vries Burger (KdVB) equations, admitting nonlinear wave solutions. Numerically, it is shown that the wave frequency decreases to attain a lowest possible value at a certain critical number density $N_{c}^{(0)}$, and then increases beyond $N_{c}^{(0)}$ as the plasma number density increases. Moreover, the relativistic electrons and associated pressure degeneracy lead to a reduction in the spatial extents of the magnetosonic waves and a strengthening of the shock amplitude. The results might be important for understanding the linear and nonlinear magnetosonic excitations in dense astrophysical plasmas, such as in white dwarfs, magnetars and neutron stars, etc., where relativistic degenerate electrons are present.

show abstract

Section: Governing Equations and Modelsupporting

confidence: 85%

Section: Governing Equations and Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

2016

View full text Add to dashboard Cite

show abstract

“…[39] Haas et al [40] have described the QHD model to study the quantum IAWs in e-i plasmas. Hussain and Mahmood [47] studied non-linear magnetoacoustic waves in collisionless homogenous, magnetized quantum plasma. Mushtaq and Khan [45] investigated the properties and stability of IASWs with transverse perturbations in an ultracold e-p-i quantum plasma.…”

Section: Introductionmentioning

confidence: 99%

“…Khan and Haque [46] studied non-linear structures in dissipative e-p-i quantum plasmas and showed that these structures are effectively affected by plasma parameters. Hussain and Mahmood [47] studied non-linear magnetoacoustic waves in collisionless homogenous, magnetized quantum plasma. Haider and Mamun [48] theoretically investigated IASWs and their multi-dimensional instability in a magnetized degenerate plasma.…”

Section: Introductionmentioning

confidence: 99%

Dynamical behaviour of non‐linear quantum ion acoustic wave in weakly magnetized electron–positron–ion plasma

Roy

Sahu

2019

Contributions to Plasma Physics

View full text Add to dashboard Cite

In order to investigate the propagation characteristics of linear and non-linear ion acoustic waves (IAWs) in electron-positron-ion quantum plasma in the presence of external weak magnetic field, we have used a quantum hydrodynamic model, and degenerate statistics for the electrons and positrons are taken into account. It is found that the linear dispersion relation of the IAW was modified by the externally applied magnetic field. By using the reductive perturbation technique, a gyration-modified Korteweg-de Vries equation is derived for finite amplitude non-linear IAWs. Time-dependent numerical simulation shows the formation of an oscillating tail in front of the ion acoustic solitons in the presence of a weak magnetic field. It is also seen that the amplitude and width of solitons and oscillating tails are affected by the relevant plasma parameters such as quantum diffraction, positron concentration, and magnetic field. We have performed our analysis by extending it to account for approximate soliton solution by asymptotic perturbation technique and non-linear analysis via a dynamical system approach. The analytical results show the distortion of the shape of the localized soliton with time, and the non-linear analysis confirms the generation of oscillating tails. K E Y W O R D SElectron-positron-ion quantum plasmas, gyration-modified KdV equation, ion acoustic waves

show abstract

The quantum effects of the spin and the Bohm potential in the oblique propagation of magnetosonic waves

Asenjo

2012

Physics Letters A

View full text Add to dashboard Cite

We study the quantum corrections to the oblique propagation of the magnetosonic waves in a warm quantum magnetoplasma composed by mobile ions and electrons. We use a fluid formalism to include quantum corrections due to the Bohm potential and to magnetization energy of electrons due to its spin. The effects of both quantum corrections are shown in the dispersion relation for perpendicular, parallel and oblique propagation. We find that the quantum contributions to the low-frequency depends on the type of propagation we are studying.

show abstract

Magnetoacoustic solitons in quantum plasma

Cited by 18 publications

References 20 publications

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

Dynamical behaviour of non‐linear quantum ion acoustic wave in weakly magnetized electron–positron–ion plasma

The quantum effects of the spin and the Bohm potential in the oblique propagation of magnetosonic waves

Contact Info

Product

Resources

About